Interesting question. Let’s start by addressing a couple assumptions:
1. You ask if our brains are as efficient as possible, then start talking about intelligence. Are these really the same thing?
2. You also ask about increasing intelligence without increasing size. There isn’t really an exact relationship between intelligence and brain size, but this is a separate issue.
So with that out of the way, let me tackle some of your other questions…
Can our intelligence be improved by physically modifying our brains without increasing their size?
Sure. Isn’t that exactly what learning is?
For example, can we enable our brains to grow more neurons that are smaller and closer together, making it more dense?
Brains are not big fans of growing new neurons, and for a long time scientists believed they were incapable of it. We now know that’s not true. But growing new cells seems not to be especially important. Growing new connections between cells is what’s crucial to learning.
In fact, it seems like biology has figured out that having more cells can actually be detrimental. Before you’re born, your brain makes billions of extra cells that die off as you approach adulthood, mostly in two big bursts around age 2 and age 12. I don’t think anyone knows exactly why this happens, but it seems like your brain is fine-tuning itself.
And I’ve read some stuff that suggests that some forms of autism may be related to increased cell density in some cortical layers. Maybe.
Can we grow brains out of some non-organic material (like what computers use) that could be better?
In theory, sure. But I can see a couple practical problems. First, are you talking about creating a whole new brain, or augmenting an existing brain? Creating a whole new brain…that’s basically what the whole field of AI is chasing, and so far it seems like the biological stuff works a whole lot better. That could change someday, though.
If you want to augment an existing brain, it seems prohibitively difficult to figure out how to weave a new circuit into the existing material. But maybe not impossible someday.
And finally (I bet you knew this was coming!) what exactly do you mean by “better”?
Can our brains be made faster by changing the chemistry of it?
This would be tricky. Complex biological systems like the brain are already in such a delicate balance that changing one part of the chemistry would run the risk of throwing off the rest of it. Consider that action potentials are only able to fire because the sodium/potassium pump keeps the inside of the cell at -70mV with respect to the cell, and the action potential itself is a carefully orchestrated cascade of voltage-dependent ion channels opening and slamming shut, and if you were to accidentally throw things off so that, say, sodium channels couldn’t open you’d probably die. And quickly.
So I wouldn’t go messing around with the chemistry too much. Keep in mind we already have myelin sheathing to conduct signals more rapidly (unless, of course, you don’t). Myelin increases electrical resistance and decreases capacitance of a membrane—if we could find something that did both of those things even better, maybe signals would conduct faster. But even then, who knows if that would result in higher intelligence or more efficiency. It might just give you seizures.
Whew. Did I get ‘em all?